Individual loads on separate feeders of a large power system are often unbalanced. The loads of Y-connected generator, consisting of electric heaters, draw 150,100, and 50 A. Find the neutral current
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Individual loads on separate feeders of a large power system are often unbalanced. The loads of Y-connected generator, consisting of electric heaters, draw 150,100, and 50 A. Find the neutral current
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- 2) A 3-bus power system is shown below. The three busses are connected through three 340 kV transmission lines of 200km, 150 km, and 150 km long. These transmission lines have the series resistance of 0.05 Ω/km and series reactance of 0.3Ω/km. (a) Find the value of the transmission lines series impedances. (b) Find the bus admittance matrix (Y-bus) of this power system.a plant is feeding a load 1.2k feet away. the load demands 100 amps at 500V. an ac system with transformer rated 500/5000V near the generating station and 5000/500V near the load. if the line has resistance of 0.2 ohms and receiving voltage of 500V, find the sending end voltage and powerflows and transmission losses.Suppose a power system consists of two isolated regions: a western region and an eastern region. Five units have been committed to supply 3090 MW as shown below. The two systems are separated by a transmission line that can handle a maximum transfer of 550 MW in either direction. Calculate the spinning reserve for the overall system and for eachregion.
- Electromechanical energy conversion (One AC induction motor and one AC synchronous motor were operated connected to an infinite bus of 600V. Power factor of the induction motor is 0,7 (lagging) and consumes 400 W from the bus. Synchronous motor consumes 300 W from the bus. If the power factor of the synchronous motor is 0,9 (lagging) find the line current from the bus, for the total of two motors (IL total 1) of the line that connects the motors with the bus and find the total appearent power (SL total 1) of the motors consumed from the bus. When the induction motor has the same conditions, if the power factor of the synchronous motor is 0,9 (leading) find the line current from the bus, for the total of two motors (IL total 2) of the line that connects the motors with the bus and find the total appearent power (SL total 2) of the motors consumed from the bus.In a cold storage, cosφ = 0.9 for 8 various motors, the total power of the motors is 48kW, the synchronicity factor of the facility is 0.70, and for lighting, 8 60W, 2 100W incandescent lamps (cosφ = 1) 4 pieces of 125W, 2 pieces of 250W, 3 pieces of 400W sodium vapor lamps (cosφ = 0,8) are used. Find the power of the distribution transformer to be selected. (Norm transformer powers: 50KVA, 100 KVA, 160 KVA, 250KVA, 400 KVA, 630 KVA, 800KVA, 1250KVA, 1600KVA)A single line diagram of a system is shown in Fig. All the values are in per unit on a common base. The power delivered into bus 2 (an infinite bus having a voltage of 1.0 pu) is 1.0 pu at 0.80 power factor lagging. Obtain the power angle equation and the swing equation for the system. Neglect all losses.
- A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the per-unit impedance of the load. Select one: a. 1736 (45 degree) Ohm b. 36 (90 degree) Ohm c. 1.736 (30 degree) Ohm d. None of the aboveA three-phase transmission line receiving end voltage is rated at 21 kV. A load of 1500 KW is connected at the receiving end of the transmission line 70 km long. The parameters of the transmission line are given by r = 0.09 Ω/km and x = 0.8 Ω/km. If the machine is working at 0.65 power factor lagging. Determine a) The series reactance of the transmission line b) Sending end line voltage c) Percentage Voltage regulation d) Percentage EfficiencyThe figure below shows a radial transmission system with a generator having a terminalvoltage of 95 KV at angle of10.5°. The load demand is 50 MW at a power factor of 0.88 lagging.Use a base of 128.4MVA . Instructions :round of to 2 decimal places. Calculate the following : 1.Load current (A) and Base current (A) 2Per unit impedance of transformer 2 and Per unit impedance of transformer 1.3.Per unit voltage of the generator. And Per unit voltage of the line. 4.Per unit voltage of the transformer 1 5.Per unit impedance of the line.6.Resistance of the transmission line when the load consumes full-load (Ω).
- A Turgo type hydro-electric plant uses a 92% efficiency generator to produce its rated output of 32.5 MW. It was observed during its operation that the mechanical loss is 4.25 MW. Also, from the penstock down to the turbine, 14.3% hydraulic head loss and 8.9% leakage loss occurs which are equally distributed and based on the parameters at the dam. The average elevation from the headrace to the jet centerline is 40 m and from the tailrace to the jet centerline is 4.5 m. compute the following: a. Power by the turbine, kW b. Volume flow rate at the source, m3/s c. Power by the jet, kW d. Mechanical Efficiency, %The figure below shows a radial transmission system with a generator having a terminal voltage of 95 KV at angle of10.5°. The load demand is 50 MW at a power factor of 0.88 lagging. Use a base of 128.4MVA . Instructions :round of to 2 decimal places. Calculate the following : 1.Per unit voltage of the transformer 1 2.Per unit impedance of the line. 3.Resistance of the transmission line when the load consumes full-load (Ω).An electrical motor is supplied from a three-phase ,50 Hz, 410 V system on-board a LNG carrier .When connected in star , it takes a line current of 35 A at a power factor of 0.66 leading. The LNG carrier arrives at port and the motor is subsequently used for powering a container crane It is now connected in delta and is supplied on-shore .Determine for this motor when it takes 64 A at 310 V, from the on-shore supply: 2.1 The power factor of the motor 2.2 the frequency of the supply The motor is returned back to its initial supply and now connected with a new motor in parallel . The new motor is connected in delta and it takes 48.216 kVA at a power factor of 0.77597 lagging with a supply of 50 Hz, 410 V system. Determine for this new arrangement : 2.3 The power factor 2.4 Apparent power taken 2.5 True power taken 2.6 Reactive power taken